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2 years ago

Convert “6750.” into scientific notation

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

Answer:

6.75 × 10^3

Step-by-step explanation:

Move the decimal 3 times to the left so that the resulting number, m = 6.75, is greater than or equal to 1 but less than 10

Since we moved the decimal to the left the exponent n is positive

n = 3

Write in the scientific notation form, m × 10^n

6.75 × 10^3

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James has 21 cups of flour he will pour the flour equally into 4 container how many cups of flour will be in each container

Degger [83]

Answer:

5 1/4 cups of flour will be in each container

Step-by-step explanation:

21 ÷ 4= 5.25

5.25= 5 1/4

hope this helps babe <3

8 0

3 years ago

Jane is going on a trip but needs to get 1500 dollars she has 345 dollars she gets 150 dollars every hour how many hours does sh

vagabundo [1.1K]

Answer:

Jane needs to work 7.7 hours

Step-by-step explanation:

Jane needs $1500

She already has $345

$1500 - $345 = $1155

She needs $1155

Jane makes $150 per hour

$1155 ÷ $150 = 7.7 hours

7.7 hours

Hope this helps :)

4 0

3 years ago

Read 2 more answers

URGENT!!! Write the product as a sum or difference.

svlad2 [7]

Answer:

9cos(46x) + 9cos(12x)

Step-by-step explanation:

18cos(29x)cos(17x)

According to Product-Sum identities

cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]

Putting α=29x and β=17x in Product-Sum identity we get

= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]

Dividing 18 by 2 we get 9

= 9[cos(46x)+cos(12x)]

Multiplying 9 with both the terms we get

= 9cos(46x)+9cos(12x)

5 0

3 years ago

Based on a random sample of 25 units of product X, the average weight is 102 lb and the sample standard deviation is 10 lb. We w

Dahasolnce [82]

Answer:

$t=\frac{102-100}{\frac{10}{\sqrt{25}}}=1$

$t_{crit}= 2.49$

Since the calculated value is lower than the critical value we have enough evidence to FAIL to reject the null hypothesis

So then we can conclude that the population mean is not significantly higher than 100

Step-by-step explanation:

Data given and notation

$\bar X=102$ represent the mean score for the sample

$s=10$ represent the standard deviation for the sample

$n=25$ sample size

$\mu_o =100$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is higher than 100, the system of hypothesis would be:

Null hypothesis: $\mu \leq 100$

Alternative hypothesis: $\mu > 100$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

Calculate the critical value

We need to find the degrees of freedom first, given by:

$df= n-1= 25-1 = 24$

Since we are conducting a right tailed test we need to find a critical value on the t distribution with 24 degrees of freedom that accumulates 0.01 of the area on the right and we got:

$t_{crit}= 2.49$

Since the calculated value is lower than the critical value w have enough evidence to FAIL to reject the null hypothesis

So then we can conclude that the population mean is not significantly higher than 100

3 0

3 years ago

Solve for b. ab+c= d. b = a + b = C-d) - (0-0)

Nana76 [90]

Answer:

Step-by-step explanation:

ab + c = d....subtract c from both sides

ab = d - c ....now divide both sides by a

b = (d - c) / a....or could also be b = (d/a) - (c/a)

3 0

3 years ago